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e-lub [12.9K]
3 years ago
15

I) Coordinates of point P

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

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Likurg_2 [28]

Answer:

3

Step-by-step explanation:

Add all the costs of the fruit.

5.75

Then divide it by 20.

= 3.4782.....

You can't have a quarter or half and apple so you round down.

Son answer is 3.

Hope this has helped!

8 0
3 years ago
How do I find the value of k​
Tju [1.3M]

The value of k is 2/5

\texttt{ }

<h3>Further explanation</h3>

Vector is quantity that has magnitude and direction.

One example of a vector is acceleration.

Let us now tackle the problem !

\texttt{ }

This problem is about Vector Diagram.

\overrightarrow{OA} = \overrightarrow{a}

\overrightarrow{OC} = \overrightarrow{c}

X is the midpoint of the line AC:

\overrightarrow{x} = \frac{1}{2} (\overrightarrow{a} + \overrightarrow{c})

\texttt{ }

OC : CD = k : 1

k \overrightarrow{CD} = \overrightarrow{OC}}

k( \overrightarrow{d} - \overrightarrow{c} ) = \overrightarrow{c}}

( \overrightarrow{d} - \overrightarrow{c} ) = \frac{1}{k} \overrightarrow{c}}

\overrightarrow{d} = \overrightarrow{c} + \frac{1}{k} \overrightarrow{c}}

\overrightarrow{d} = ( 1 + \frac{1}{k} ) \overrightarrow{c}}

\texttt{ }

\overrightarrow{XD} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

\overrightarrow{d} - \overrightarrow{x} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

( 1 + \frac{1}{k} ) \overrightarrow{c} - \frac{1}{2} (\overrightarrow{a} + \overrightarrow{c}) = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

( 1 + \frac{1}{k} - \frac{1}{2}) \overrightarrow{c} - \frac{1}{2} \overrightarrow{a} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

( \frac{1}{k} + \frac{1}{2}) \overrightarrow{c} - \frac{1}{2} \overrightarrow{a} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

\frac{1}{k} + \frac{1}{2} = 3

\frac{1}{k} = 3 - \frac{1}{2}

\frac{1}{k} = \frac{5}{2}

k = \frac{2}{5}

\texttt{ }

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Vectors

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate, Stream , Vector

7 0
4 years ago
A number is chosen at random from 1 to 50. Find the probability of selecting divisors of 48
son4ous [18]
48 divisors: 1, 2; 4; 5; 6; 8; 12; 16; 24; 48;
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3 years ago
Using the distributive property to find the product (y — 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y
klio [65]
I got a =16.
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4 0
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Read 2 more answers
The graph of f(x) = 2x is shown on the grid. The graph of g(x) = ()x is the graph of f(x) = 2x reflected over the y-axis. Which
pshichka [43]

Answer:

g(x)=-2x

Step-by-step explanation:

A point reflected across the y-axis maintains its y-coordinate, but its x-coordinate switches signs. So, a positive x-coordinate becomes negative, and a negative x-coordinate becomes positive.

Let's take a few points from the original function, f(x). Remember, if we know the function, we can find the y-coordinate for any x-coordiante by simply plugging it into the function's equation.

Generally, f(x)=2x

So:

f(0)=2(0)=0\\f(1)=2(1)=2\\f(2)=2(2)=4

Leading us to have the plot points (0,0), (1,2) and (2,4).

To reflect this across the y-axis for the g(x) equation, we just need to turn the x-coordinates negative, resulting in a set of (0,0), (-1,2), and (-2,4).

Since we know this is a linear function (because there are no exponents in the equation), we can calculate the slope of this new set of points by using just 2 of them. The slope will give us our equation, because since (0,0) is a point on our line, we know that the y-intercept is zero.

slope=\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})} \\slope=\frac{(4-2)}{((-2)-(-1))} \\slope=\frac{2}{-1}\\slope=-2\\\\g(x)=-2(x)

3 0
3 years ago
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